Stiefel and Grassmann manifolds in Quantum Chemistry

Details Stiefel and Grassmann manifolds in Quantum Chemistry Stiefel and Grassmann manifolds in Quantum Chemistry

2011-05-09

arxiv.org/abs/1105.1661v1

Mathematics

Functional Analysis

23 pages

Scientific paper

We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slater type variational spaces in many-particle Hartree-Fock theory and beyond. In particular, we prove that they are analytic homogeneous spaces and submanifolds of the space of bounded operators on the single-particle Hilbert space. As a by-product we obtain that they are complete Finsler manifolds. These geometric properties underpin state-of-the-art results on existence of solutions to Hartree-Fock type equations.

Affiliated with

Also associated with

No associations

Rating

Stiefel and Grassmann manifolds in Quantum Chemistry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stiefel and Grassmann manifolds in Quantum Chemistry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stiefel and Grassmann manifolds in Quantum Chemistry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333990